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Wang J, Manchester E, Skillen A, Ngoepe M, Keavney B, Revell A. An in silico analysis of heart rate impact on wall shear stress hemodynamic parameters in aortic coarctation. Sci Rep 2025; 15:2747. [PMID: 39837894 PMCID: PMC11751079 DOI: 10.1038/s41598-025-85522-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2024] [Accepted: 01/03/2025] [Indexed: 01/23/2025] Open
Abstract
This study examines how heart rate (HR) affects hemodynamics in a South African infant with Coarctation of the Aorta. Computed tomography angiography segments aortic coarctation anatomy; Doppler echocardiography derives inlet flow waveforms. Simulations occur at 100, 120, and 160 beats per minute, representing reduced, resting, and elevated HR levels. Turbulence was analyzed over time and space using turbulence-resolving and pulsatile large-eddy simulations. Specifically, a 60% reduction in HR led to a reduction in maximum velocity by 45%, and a 57% decrease in pressure drop. The reduction in turbulence-related metrics was less significant. The ratio of turbulent kinetic energy to total kinetic energy decreased by 2%, while turbulent wall shear stress decreased by 3%. These results demonstrate that HR significantly affects velocity and pressure drop, while turbulence arising from the coarctation region is relatively unaffected. The balance between turbulent kinetic energy and total kinetic energy shows minimal enhancement due to the complex interplay among HR, turbulence, and geometry. This complexity prompts discussion on how HR-slowing medications, such as beta-blockers or ivabradine, could positively influence hemodynamic stresses. In particular, the results indicate that while HR modulation can influence flow dynamics, it may not significantly reduce turbulence-induced shear stresses within the coarctation zone. Therefore, further investigation is necessary to understand the potential impact of HR modulation in the management of CoA, and whether interventions targeting the anatomical correction of the coarctation may be more effective in improving hemodynamic outcomes.
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Affiliation(s)
- Jie Wang
- School of Engineering, The University of Manchester, Manchester, UK.
| | - Emily Manchester
- School of Engineering, The University of Manchester, Manchester, UK
| | - Alex Skillen
- School of Engineering, The University of Manchester, Manchester, UK
| | - Malebogo Ngoepe
- Centre for Research in Computational and Applied Mechanics, University of Cape Town, Cape Town, South Africa
| | - Bernard Keavney
- Division of Cardiovascular Medicine, The University of Manchester, Manchester, UK
| | - Alistair Revell
- School of Engineering, The University of Manchester, Manchester, UK
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Tatari Y, Smith TA, Hu J, Arzani A. Optimizing distal and proximal splenic artery embolization with patient-specific computational fluid dynamics. J Biomech 2024; 176:112320. [PMID: 39276470 PMCID: PMC11560488 DOI: 10.1016/j.jbiomech.2024.112320] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2024] [Revised: 09/05/2024] [Accepted: 09/10/2024] [Indexed: 09/17/2024]
Abstract
Splenic artery embolization (SAE) has become a favored alternative to splenectomy, offering a less invasive intervention for injured spleens while preserving spleen function. However, our understanding of the role that hemodynamics plays during embolization remains limited. In this study, we utilized patient-specific computational fluid dynamics (CFD) simulations to study distal and proximal embolization strategies commonly used in SAE. Detailed 3D computer models were constructed considering the descending aorta, various major visceral arteries, and the iliac arteries. Subsequently, the blood flow and pressure associated with different coil placement locations in proximal embolization were studied considering the collateral vessels. Coil induced variations in pressure fields were quantified and compared to baseline. The coil induced flow stagnation was also quantified with particle residence time. Distal embolization was modeled with Lagrangian particle tracking and the effect of particle size, release location, and timing on embolization outcome was studied. Our findings highlight the crucial role of collateral vessels in maintaining blood supply to the spleen following proximal embolization. It was demonstrated that coil location can affect distal pressure and that strategic coil placement guided by patient-specific CFD simulations can further reduce this pressure as desired. Additionally, the results point to the critical roles that particle size, release timing, and location play in distal embolization. Our study provides an early attempt to use patient-specific computer modeling for optimizing embolization strategies and ultimately improving patient outcomes during SAE procedures.
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Affiliation(s)
- Younes Tatari
- Department of Mechanical Engineering, University of Utah, Salt Lake City, UT, USA; Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA.
| | | | - Jingjie Hu
- Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC, USA.
| | - Amirhossein Arzani
- Department of Mechanical Engineering, University of Utah, Salt Lake City, UT, USA; Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA.
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Chen H, Zhao M, Li Y, Wang Q, Xing Y, Bian C, Li J. A study on the ultimate mechanical properties of middle-aged and elderly human aorta based on uniaxial tensile test. Front Bioeng Biotechnol 2024; 12:1357056. [PMID: 38576445 PMCID: PMC10991712 DOI: 10.3389/fbioe.2024.1357056] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2023] [Accepted: 03/07/2024] [Indexed: 04/06/2024] Open
Abstract
Background The mechanical properties of the aorta are particularly important in clinical medicine and forensic science, serving as basic data for further exploration of aortic disease or injury mechanisms. Objective To study the influence of various factors (age, gender, test direction, anatomical location, and pathological characteristics) on the mechanical properties and thickness of the aorta. Methods In this study, a total of 24 aortas (age range: 54-88 years old) were collected, one hundred and seventy-four dog-bone-shaped samples were made, and then the uniaxial tensile test was run, finally, pathological grouping was performed through histological staining. Results Atherosclerotic plaques were mainly distributed near the openings of blood vessel branches. The distribution was most severe in the abdominal aorta, followed by the aortic arch. Aortic atherosclerosis was a more severe trend in the male group. In the comparison of thickness, there were no significant differences in age (over 50 years) and test direction, the average thickness of the aorta was greater in the male group than the female group and decreased progressively from the ascending aorta to the abdominal aorta. Comparing the mechanical parameters, various parameters are mainly negatively correlated with age, especially in the circumferential ascending aorta (εp "Y = -0.01402*X + 1.762, R2 = 0.6882", εt "Y = -0.01062*X + 1.250, R2 = 0.6772"); the parameters of males in the healthy group were larger, while the parameters of females were larger in atherosclerosis group; the aorta has anisotropy, the parameters in the circumferential direction were greater than those in the axial direction; the parameters of the ascending aorta were the largest in the circumferential direction, the ultimate stress [σp "1.69 (1.08,2.32)"] and ultimate elastic modulus [E2"8.28 (6.67,10.25)"] of the abdominal aorta were significantly larger in the axial direction; In the circumferential direction, the stress [σp "2.2 (1.31,3.98)", σt "0.13 (0.09,0.31)"] and ultimate elastic modulus (E2 "14.10 ± 7.21") of adaptive intimal thickening were greater than those of other groups, the strain (εp "0.82 ± 0.17", εt "0.53 ± 0.14") of pathological intimal thickening was the largest in the pathological group. Conclusion The present study systematically analyzed the influence of age, sex, test direction, anatomical site, and pathological characteristics on the biomechanical properties of the aorta, described the distribution of aortic atherosclerosis, and illustrated the characteristics of aortic thickness changes. At the same time, new insights into the grouping of pathological features were presented.
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Affiliation(s)
- Hongbing Chen
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Minzhu Zhao
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Yongguo Li
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Qi Wang
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Yu Xing
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Cunhao Bian
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
| | - Jianbo Li
- Department of Forensic Medicine, College of Basic Medicine, Chongqing Medical University, Chongqing, China
- Chongqing Engineering Research Center for Criminal Investigation Technology, Chongqing, China
- Chongqing Key Laboratory of Forensic Medicine, Chongqing, China
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Liu Y, Qi F, Cai XC. An aneurysm-specific preconditioning technique for the acceleration of Newton-Krylov method with application in the simulation of blood flows. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2023; 39:e3771. [PMID: 37688432 DOI: 10.1002/cnm.3771] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2023] [Revised: 07/25/2023] [Accepted: 08/19/2023] [Indexed: 09/10/2023]
Abstract
In this paper, we develop an algorithm to simulate blood flows in aneurysmal arteries and focus on the construction of robust and efficient multilevel preconditioners to speed up the convergence of both linear and nonlinear solvers. The work is motivated by the observation that in the local aneurysmal region, the flow is often quite complicated with one or more vortices, but in the healthy section of the artery, the principal component of blood flows along the centerline of the artery. Based on this observation, we introduce a novel two-level additive Schwarz method with a mixed-dimensional coarse preconditioner. The key components of the preconditioner include (1) a three-dimensional coarse preconditioner covering the aneurysm; (2) a one-dimensional coarse preconditioner covering the central line of the healthy section of the artery; (3) a collection of three-dimensional overlapping subdomain preconditioners covering the fine meshes of the entire artery; (4) extension/restriction operators constructed by radial basis functions. The blood flow is modeled by the unsteady incompressible Navier-Stokes equations with resistance outflow boundary conditions discretized by a stabilized finite element method on fully unstructured meshes and the second-order backward differentiation formula in time. The resulting large nonlinear algebraic systems are solved by a Newton-Krylov algorithm accelerated by the new preconditioner in two ways: (1) the initial guess of Newton is obtained by solving a linear system defined by the coarse preconditioner; (2) the Krylov solver of the Jacobian system is preconditioned by the new preconditioner. Numerical experiments indicate that the proposed preconditioner is highly effective and robust for complex flows in a patient-specific artery with aneurysm, and it significantly reduces the numbers of linear and nonlinear iterations.
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Affiliation(s)
- Yingzhi Liu
- Department of Mathematics, University of Macau, Macau, People's Republic of China
| | - Fenfen Qi
- Department of Mathematics, University of Macau, Macau, People's Republic of China
| | - Xiao-Chuan Cai
- Department of Mathematics, University of Macau, Macau, People's Republic of China
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